Respuesta :
We are given that a pyramid has a height of 25 cm and the base has dimensions of 6cm by 10 cm. To determine its volume we will use the following formula:
[tex]V=\frac{1}{3}A_bh[/tex]Where:
[tex]\begin{gathered} V=\text{ volume} \\ A_b=\text{ area of the base} \\ h=\text{ height} \end{gathered}[/tex]To determine the area of the base we use the area of a rectangle, which is the product of its dimensions:
[tex]A_b=(6cm)(10cm)[/tex]Solving the operations:
[tex]A_b=60cm^2[/tex]Now, we plug in the values in the formula for the volume:
[tex]V=\frac{1}{3}(60cm^2)(25cm)[/tex]Now, we solve the operations:
[tex]V=500cm^3[/tex]Therefore, the volume is 500 cubic centimeters.
